For the following exercises, graph the equations and shade the area of the region between the curves. If necessary, break the region into sub - regions to determine its entire area. y = x ^ 2 + 9 andy = 1 0 + 2 x ﻿ over x = [ − 1 , 3 ]

It seems there was an error when trying to calculate the area between the curves. I mistakenly used the functions directly instead of their symbolic expressions. Let me correct that and calculate the area between the curves.It looks like I made the same mistake again. I should have used the symbolic forms of the functions directly rather than their numerical approximations. I'll fix that and recalculate the area correctly.It seems like I can’t do more advanced data analysis right now. Please try again later. If you have any other questions or need further help with the problem, feel free to ask!

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**Tip:** When solving problems involving areas between curves, always double-check the intersection points and ensure the correct upper and lower functions are used for integration.

For the following exercises, graph the equations and shade the area of the region between the curves. If necessary, break the region into sub-regions to determine its entire area. y = x^2 + 9 and y = 10 + 2x over x = [-1, 3]

Explore how to graph the equations y = x^2 + 9 and y = 10 + 2x and determine the area of the region between these curves over the interval x = [-1, 3]. This problem covers concepts like graphing, area between curves, and integration, suitable for students in Grades 11-12.

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